Use the method of composite areas to calculate the centroidal coordinates of the plane regions shown. 50 mm 30 mm 30 mmi 40 mm-

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Proof of formula: How to find X1

Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the z' axis that passes through the centroid. 2013 Michael Swanbom лу b с d ©ci❀O BY NC SA k *b*c Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 12 mm 7 mm 7 mm 19 mm The coordinate of the centroid is The y coordinate of the centroid is The moment of inertia about the z' axis going through the centroid is I₂' = a d с mm. mm. x mm4.

For the given cross-section with the z-axis going across the width and the y axis being the vertical axis and w = 125 mm, determine: a. Iz (centroidal) [Iz = 2.182 x 10-4 m4]